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Popular >

factor+b^2-6b+9

Solution

factor

+ b^{2} - 6 b + 9

Solution

(b - 3)^{2}

Solution steps

b^{2} - 6 b + 9

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

9 = 3^{2}

- 6 b = - 2 b \cdot 3

= b^{2} - 2 b \cdot 3 + 3^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

b^{2} - 2 b \cdot 3 + 3^{2} = (b - 3)^{2}

= (b - 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor+b^2-6b+9 ?
The solution to factor+b^2-6b+9 is (b-3)^2